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saveliy_v [14]
2 years ago
5

A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a lar

ger cone. The small cone has a base radius of 3 inches and a height of 5 inches. The larger cone has a base radius of 9 inches and had a height of 15 inches prior to being cut. What is the volume
Mathematics
1 answer:
Alexxx [7]2 years ago
4 0

Answer:

The answer is 390 × pi.

Step-by-step explanation:

Big cone:

V = 1/3 x pi x r^2 x h

= 1/3 x 3.14 x 9^2 x 15

= 1272.3 cubic inches

Small cone:

V = 1/3 x pi x r^2 x h

= 1/3 x 3.14 x 3^2 x 5

= 47.1 cubic inches  

1272.3 - 47.1 = 1225.2 cubic inches

1272/3.14 ≈ 390

The answer is 390 × pi.

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What is the additive identity of the complex number 14 + 5i?
Naddika [18.5K]

Answer: B) 0


Step-by-step explanation:

1. When you add complex numbers you must add the whole parts and then the imaginary parts.

2. One of the properties of complex numbers is called "Additive identity" which is represented by:

0+0i

3. Then, for the complex number 14+5i, you have:

(14+5i)+(0+0i)=(14+0)+(5+0)i=14+5i

4. Therefore, the answer is the option B.

7 0
2 years ago
Read 2 more answers
Gill wears a device that counts the number of steps she takes every day. One day she did onefifteenth of her steps before breakf
Masteriza [31]

Answer:

6000 steps

Step-by-step explanation:

1/15 +1/10+1/2=2/30+3/30+15/30=20/30=2/3

2/3=12000 steps

1/3=6000 steps

3/3=18000 steps

Her total steps should be 18000 and she has done 12000 steps.

18000-12000=6000 steps

6 0
2 years ago
Dora drove east at a constant rate of 75 kph. One hour later, Tim started driving on the same road at a constant rate of 90 kph.
PIT_PIT [208]
Ok so let T=time from when Tim starts
Distance Tim travels= T*90
Distance Dora travels=T*75 + 75  (<as already started)
for him to have caught up His distance must equal hers so:
90T=75T + 75  (now minus 75T)
15T=75  (now divide by 15)
T=5 :)
So five hourse, hope this helped :)


3 0
2 years ago
Read 2 more answers
sarah has a solid wooden cube with a length of 4/5 centimeter. from eaxh of its 8 corners, she cuts out a smaller cube with a le
faltersainse [42]
First, calculate for the volume of the cube before each edges are cut.
                                    V = e³
where e is the length of each sides. Substituting the known value,
                                   V = (4/5 cm)³ = 0.512 cm³

Then, calculate for the volume of each of the small cubes cut out from the corners.
                                   V = (1/5 cm)³ = 0.008 cm³
Since there are 8 of these small cube, we multiply the volume by 8.
                                       8V = 8(0.008 cm³) = 0.064 cm³

Then, subtracting the volumes will give us an answer of <em>0.448 cm³</em>
5 0
2 years ago
Read 2 more answers
Sarah buys a new bike. The total cost of the bike including taxes is $349. She pays $100 down and then agrees to pay the balance
OlgaM077 [116]

The amount of each of the 6 payments will be $41.50

Step-by-step explanation:

Given,

Cost of bike including taxes = $349

Down payment = $100

Amount left to pay = Cost of bike - Down payment

Amount left to pay = 349 - 100

Amount left to pay = $249

She agrees to pay in 6 equal payments, therefore, we will divide the total amount to pay by 6.

Amount to pay for one month = \frac{Amount\ left\ to\ pay}{No.\ of\ months}

Amount to pay for one month = \frac{249}{6} = \$41.50

The amount of each of the 6 payments will be $41.50

Keywords: division, subtraction

Learn more about subtraction at:

  • brainly.com/question/10940255
  • brainly.com/question/10941043

#LearnwithBrainly

5 0
2 years ago
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